Metrics for Hyperbolic arc-cosine

analyze74.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.7s (42.4%)

Results

971.0ms	8256×	body	256	valid
679.0ms	8341×	body	256	invalid

Bogosity

preprocess323.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

1460×	`fma-def`
1306×	`distribute-lft-out`
1242×	`distribute-rgt-out--`
1042×	`unsub-neg`
932×	`sub-neg`

Problems

144×	No Errors
111×	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
1×	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	40	69
2	73	69
3	168	69
4	400	69
5	903	69
6	1683	69
7	3194	69
8	4234	69
9	4874	69
10	5164	69
11	5472	69
12	5626	69
13	5699	69
14	5910	69
15	6677	69
16	6858	69

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))

Compiler

Compiled 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	57.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize72.0ms (1.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	99.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	59.3%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	-inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite85.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`fma-def`
902×	`log-prod`
770×	`prod-exp`
618×	`pow-prod-down`
496×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	214	55
2	2915	55

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac`
890×	`distribute-rgt-in`
890×	`distribute-lft-in`
638×	`associate-+r+`
580×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	6315
1	1026	6067
2	2981	5743

Stop Event

1×	node limit

Counts

189 → 279

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (-.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
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(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)) x)

eval141.0ms (3.6%)

Compiler: Compiled 4692 to 3409 computations (27.3% saved)

prune62.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	275	4	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	275	5	280

Accuracy

100.0%

Counts

280 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(+.f64 (log.f64 2) (log.f64 x))
▶	57.4%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	99.0%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	57.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.5%	(log.f64 (+.f64 x x))
▶	98.6%	(+.f64 (log.f64 2) (log.f64 x))
▶	57.4%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	99.0%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	57.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 84 to 62 computations (26.2% saved)

localize142.0ms (3.6%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	99.6%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	98.8%	(cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	59.3%	(sqrt.f64 (fma.f64 x x -1))
✓	99.6%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	99.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 92 to 58 computations (37% saved)

series111.0ms (2.8%)

Counts

7 → 56

Calls

21 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
22.0ms	x	@	0	(log.f64 (+.f64 x x))
18.0ms	x	@	-inf	(log.f64 (+.f64 x x))
18.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
13.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite114.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`fma-def`
706×	`expm1-udef`
700×	`log1p-udef`
468×	`add-sqr-sqrt`
450×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	141
1	502	127
2	6431	127

Stop Event

1×	node limit

Counts

7 → 220

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 2) (log.f64 x))

Outputs
(+.f64 (log1p.f64 1) (log.f64 x))
(+.f64 (log.f64 x) (log1p.f64 1))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (log.f64 x) (log1p.f64 1)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 (log1p.f64 1) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log1p.f64 1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(fma.f64 1 (log.f64 x) (log1p.f64 1))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 1 x)))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(-.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (log.f64 (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(/.f64 1 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (cbrt.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(+.f64 0 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6)) (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 1/3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (log.f64 x) (log1p.f64 1)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 (log1p.f64 1) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log1p.f64 1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(fma.f64 1 (log.f64 x) (log1p.f64 1))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 1 x)))

simplify125.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

138×	`sqr-pow`
120×	`*-commutative`
114×	`+-commutative`
72×	`sub-neg`
54×	`fma-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	498	6674
1	1582	6674

Stop Event

1×

unsound

Counts

276 → 280

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(pow.f64 (sqrt.f64 -1) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (pow.f64 (sqrt.f64 -1) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 (sqrt.f64 -1) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 (sqrt.f64 -1) 1/3))))
(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)))
(+.f64 (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x))
(+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1)))))) (+.f64 (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 3) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (sqrt.f64 -1))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 14)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))) (.f64 2/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/3)))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1)))))) (+.f64 (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x))))
(log.f64 (pow.f64 (sqrt.f64 -1) 1/3))
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(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 1/3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (log.f64 x) (log1p.f64 1)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 (log1p.f64 1) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log1p.f64 1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(fma.f64 1 (log.f64 x) (log1p.f64 1))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 1 x)))

Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -2))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 -1 (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 -1 (fma.f64 -8 (.f64 x x) (fma.f64 -4 (.f64 x x) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))))
(+.f64 -1 (fma.f64 -64/3 (.f64 x x) (fma.f64 -8 (.f64 x x) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/32 (.f64 x x))) (/.f64 -1 (.f64 x x)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 1/32 (.f64 x x))) (/.f64 1/192 (*.f64 x x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -2))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (+.f64 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/32 (.f64 x x))) (/.f64 -1 (.f64 x x))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 1/32 (.f64 x x))) (/.f64 1/192 (*.f64 x x)))))
(sqrt.f64 -1)
-1
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 -1 (.f64 -1 (/.f64 (.f64 x x) -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 -1 (fma.f64 -1/8 (/.f64 (.f64 x x) -1) (.f64 -1 (/.f64 (*.f64 x x) -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 -1 (fma.f64 -1/8 (/.f64 (.f64 x x) -1) (fma.f64 1/16 (/.f64 (.f64 x x) -1) (.f64 -1 (/.f64 (.f64 x x) -1)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 x -1 (/.f64 -1 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1/16 (pow.f64 x 5))))
(pow.f64 (sqrt.f64 -1) 1/3)
-1
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (pow.f64 (sqrt.f64 -1) 1/3))
(fma.f64 1/3 (.f64 x (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18))) -1)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 (sqrt.f64 -1) 1/3)))
(fma.f64 1/3 (.f64 x (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18))) (+.f64 -1 (.f64 (.f64 -1 (.f64 x x)) (+.f64 -1 (.f64 -1/3 (*.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)))))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 (sqrt.f64 -1) 1/3))))
(+.f64 (fma.f64 1/3 (.f64 x (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18))) (+.f64 -1 (.f64 (.f64 -1 (.f64 x x)) (+.f64 -1 (.f64 -1/3 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18))))))) (.f64 -1/3 (.f64 (.f64 x x) (+.f64 1/27 (.f64 (.f64 2/3 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18))) (+.f64 -1 (.f64 -1/3 (*.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)))))))))
(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)))
-1
(+.f64 (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x))
(+.f64 -1 (.f64 x (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18))))
(+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1)))))) (+.f64 (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x)))
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(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) -1)) (+.f64 (neg.f64 (log.f64 x)) (pow.f64 (log.f64 x) -1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (-.f64 -1 (pow.f64 (log.f64 x) -1)) (neg.f64 (log.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) -1)) -1) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) -1) -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (log.f64 x) -1))) (neg.f64 (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (log.f64 x) (log1p.f64 1)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) -1)) (+.f64 (log.f64 x) -1))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
-1
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
-1
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
-1
(neg.f64 (log.f64 (/.f64 0 0)))
-1
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
-1
(log.f64 (/.f64 0 0))
-1
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
-1
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
-1
(log1p.f64 (-.f64 (/.f64 0 0) 1))
-1
(fma.f64 (log1p.f64 1) 1 (log.f64 x))
(+.f64 (log.f64 x) -1)
(fma.f64 (log.f64 x) 1 (log1p.f64 1))
(neg.f64 (log.f64 x))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
-1
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(+.f64 (log.f64 x) -1)
(fma.f64 1 (log.f64 x) (log1p.f64 1))
(neg.f64 (log.f64 x))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-1
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -1) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(+.f64 (log.f64 x) -1)
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(+.f64 (log.f64 x) -1)
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 x) -1)) (/.f64 -1 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) -1) -1)) -1)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 -1 (pow.f64 (log.f64 x) -1)) (/.f64 -1 (neg.f64 (log.f64 x))) -1)
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))

eval109.0ms (2.8%)

Compiler: Compiled 4721 to 3770 computations (20.1% saved)

prune37.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	278	7	285

Accuracy

100.0%

Counts

285 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.2%	(+.f64 (log.f64 x) -1)
✓	98.6%	(+.f64 (log.f64 2) (log.f64 x))
✓	57.4%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	1.5%	(neg.f64 (log.f64 x))
✓	99.0%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	57.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))
▶	29.2%	(+.f64 (log.f64 x) -1)
✓	98.6%	(+.f64 (log.f64 2) (log.f64 x))
✓	57.4%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	1.5%	(neg.f64 (log.f64 x))
✓	99.0%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	57.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 102 to 76 computations (25.5% saved)

localize36.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 x) -1)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (log.f64 x) -1)
0.0ms	x	@	-inf	(+.f64 (log.f64 x) -1)
0.0ms	x	@	inf	(+.f64 (log.f64 x) -1)

rewrite125.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`pow1`
1270×	`add-exp-log`
1270×	`log1p-expm1-u`
1270×	`expm1-log1p-u`
1242×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1690	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 (log.f64 x) -1)

Outputs
(-.f64 (+.f64 1 (+.f64 (log.f64 x) -1)) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 (log.f64 x) -1) 1)
(*.f64 1 (+.f64 (log.f64 x) -1))
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2)) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (.f64 (log.f64 x) -1)))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))) (+.f64 -1 (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) (-.f64 -1 (log.f64 x)))
(pow.f64 (+.f64 (log.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2))
(log.f64 (*.f64 x (exp.f64 -1)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 x) -1)))
(exp.f64 (log.f64 (+.f64 (log.f64 x) -1)))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 x) -1)))
(fma.f64 1 (log.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)

simplify159.0ms (4%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-neg`
744×	`div-sub`
682×	`associate-+r+`
666×	`associate-r`
588×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	723
1	214	663
2	637	643
3	3819	643

Stop Event

1×	node limit

Counts

43 → 38

Calls

Call 1

Inputs
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 1 (+.f64 (log.f64 x) -1)) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 (log.f64 x) -1) 1)
(*.f64 1 (+.f64 (log.f64 x) -1))
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2)) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (.f64 (log.f64 x) -1)))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))) (+.f64 -1 (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) (-.f64 -1 (log.f64 x)))
(pow.f64 (+.f64 (log.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2))
(log.f64 (*.f64 x (exp.f64 -1)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 x) -1)))
(exp.f64 (log.f64 (+.f64 (log.f64 x) -1)))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 x) -1)))
(fma.f64 1 (log.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)

Outputs
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 1 (+.f64 (log.f64 x) -1)) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (/.f64 1 (+.f64 (log.f64 x) 1)))
(+.f64 (log.f64 x) -1)
(*.f64 (+.f64 (log.f64 x) -1) 1)
(+.f64 (log.f64 x) -1)
(*.f64 1 (+.f64 (log.f64 x) -1))
(+.f64 (log.f64 x) -1)
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2)))
(+.f64 (log.f64 x) -1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2)) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(+.f64 (log.f64 x) -1)
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(+.f64 (log.f64 x) -1)
(.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (.f64 (log.f64 x) -1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (.f64 (log.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) 1) 1))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(+.f64 (log.f64 x) -1)
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(+.f64 (log.f64 x) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))) (+.f64 -1 (pow.f64 (log.f64 x) 3))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (.f64 (log.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) 1) 1))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(+.f64 (log.f64 x) -1)
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (.f64 (log.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) 1) 1))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) -1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (.f64 (log.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) 1) 1))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) 1))
(+.f64 (log.f64 x) -1)
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (.f64 (log.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) 1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) 1)))
(+.f64 (log.f64 x) -1)
(/.f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) (-.f64 -1 (log.f64 x)))
(+.f64 (log.f64 x) -1)
(pow.f64 (+.f64 (log.f64 x) -1) 1)
(+.f64 (log.f64 x) -1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 3)
(+.f64 (log.f64 x) -1)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) 1/3)
(+.f64 (log.f64 x) -1)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) 2)
(+.f64 (log.f64 x) -1)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2))
(+.f64 (log.f64 x) -1)
(log.f64 (*.f64 x (exp.f64 -1)))
(+.f64 (log.f64 x) -1)
(cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3))
(+.f64 (log.f64 x) -1)
(expm1.f64 (log1p.f64 (+.f64 (log.f64 x) -1)))
(+.f64 (log.f64 x) -1)
(exp.f64 (log.f64 (+.f64 (log.f64 x) -1)))
(+.f64 (log.f64 x) -1)
(log1p.f64 (expm1.f64 (+.f64 (log.f64 x) -1)))
(+.f64 (log.f64 x) -1)
(fma.f64 1 (log.f64 x) -1)
(+.f64 (log.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) -1)
(+.f64 (log.f64 x) -1)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)
(+.f64 (log.f64 x) -1)

eval16.0ms (0.4%)

Compiler: Compiled 408 to 274 computations (32.8% saved)

prune21.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	38	7	45

Accuracy

100.0%

Counts

45 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.2%	(+.f64 (log.f64 x) -1)
✓	98.6%	(+.f64 (log.f64 2) (log.f64 x))
✓	57.4%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	1.5%	(neg.f64 (log.f64 x))
✓	99.0%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	57.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 96 to 68 computations (29.2% saved)

regimes31.0ms (0.8%)

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 x) -1)
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))

Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Calls

3 calls:

10.0ms	x
9.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
9.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.0%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 66 to 44 computations (33.3% saved)

regimes8.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 x) -1)

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 x))

Outputs
(neg.f64 (log.f64 x))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
1.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg`
8×	`+-commutative`
8×	`*-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	21	43
2	28	43
3	33	43
4	36	43
5	37	43

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 x))

Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 x))

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness259.0ms (6.6%)

Rules

896×	`times-frac`
890×	`distribute-rgt-in`
890×	`distribute-lft-in`
638×	`associate-+r+`
580×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	6315
1	1026	6067
2	2981	5743
0	498	6674
1	1582	6674

Stop Event

1×	unsound
1×	node limit

Compiler

Compiled 39 to 31 computations (20.5% saved)

end0.0ms (0%)

preprocess98.0ms (2.5%)

Compiler: Compiled 52 to 36 computations (30.8% saved)

analyze74.0ms (1.9%)

sample1.7s (42.4%)

preprocess323.0ms (8.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize72.0ms (1.8%)

series4.0ms (0.1%)

rewrite85.0ms (2.2%)

simplify103.0ms (2.6%)

eval141.0ms (3.6%)

prune62.0ms (1.6%)

localize142.0ms (3.6%)

series111.0ms (2.8%)

rewrite114.0ms (2.9%)

simplify125.0ms (3.2%)

eval109.0ms (2.8%)

prune37.0ms (0.9%)

localize36.0ms (0.9%)

series0.0ms (0%)

rewrite125.0ms (3.2%)

simplify159.0ms (4%)

eval16.0ms (0.4%)

prune21.0ms (0.5%)

regimes31.0ms (0.8%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

simplify9.0ms (0.2%)

soundness259.0ms (6.6%)

end0.0ms (0%)

preprocess98.0ms (2.5%)

Profiling